New hyper-Kaehler manifolds by fixing monopoles

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The construction of new hyper-Kaehler manifolds by taking the infinite monopole mass limit of certain Bogomol'nyi-Prasad-Sommerfield monopole moduli spaces is considered. The one-parameter family of hyperkaehler manifolds due to Dancer is shown to be an example of such manifolds. A new family of fixed monopole spaces is constructed. They are the moduli spaces of four SU(4) monopoles, in the infinite mass limit of two of the monopoles. These manifolds are shown to be nonsingular when the fixed monopole positions are distinct.
Original languageEnglish
JournalPhysical Review D: Particles and Fields
Publication statusPublished - 22 Feb 1997

Bibliographical note

Version in Phys. Rev. D. 11 pp, RevTeX, 14 Postscript diagrams


  • hep-th


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